The following Theorem is just a re-formulation for a special case of Theorem 4 in [1]} which is stated here for the convenience of the reader: In their paper the authors study approximate sieve estimation, i.e., they allow that the estimator only approximately maximizes the likelihood. In their notation this means that we assume in the present paper that \(\eta _n=0\) , this is already included in the following version of Theorem 4 of [1]}.
